Atkin-Lehner |
2+ 3+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640g |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
560640 |
Modular degree for the optimal curve |
Δ |
3222979200000 = 210 · 33 · 55 · 7 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196680,33638400] |
[a1,a2,a3,a4,a6] |
Generators |
[110:3650:1] |
Generators of the group modulo torsion |
j |
821687277101755684/3147440625 |
j-invariant |
L |
4.6350607604518 |
L(r)(E,1)/r! |
Ω |
0.69926139773285 |
Real period |
R |
0.66285095913876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999738283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61320x1 |
Quadratic twists by: -4 |